On Calabi-Yau supermanifolds
High Energy Physics - Theory
2007-05-23 v1 Differential Geometry
Abstract
We prove that a Kahler supermetric on a supermanifold with one complex fermionic dimension admits a super Ricci-flat supermetric if and only if the bosonic metric has vanishing scalar curvature. As a corollary, it follows that Yau's theorem does not hold for supermanifolds.
Keywords
Cite
@article{arxiv.hep-th/0408188,
title = {On Calabi-Yau supermanifolds},
author = {Martin Rocek and Neal Wadhwa},
journal= {arXiv preprint arXiv:hep-th/0408188},
year = {2007}
}
Comments
4 pages